# Math Help - How did they get from the second expression to the third? (simplification)

1. ## How did they get from the second expression to the third? (simplification)

How did they get from the second expression to the third?

It was stated earlier in this problem that radius r=cube root of (500/Pi) so that's why it's equal to 2r but I don't understand the simplification from 1000/Pi(500/Pi)^(2/3) to the next expression.

2. ## Re: How did they get from the second expression to the third? (simplification)

$\frac{1000}{\pi \left(\frac{500}{\pi}\right)^{2/3}} =$

$\frac{1000}{\pi} \cdot \frac{\pi^{2/3}}{500^{2/3}} =$

$\frac{2 \cdot 500}{\pi} \cdot \frac{\pi^{2/3}}{500^{2/3}} =$

$\frac{2 \cdot 500^{1/3}}{\pi^{1/3}} = 2\sqrt[3]{\frac{500}{\pi}}$